Question

Any part of the circumference of the circle is called as
A. Radius
B. Arc
C. Circumference
D None of these

Answer 1

Hint: Arc is any specific part of the circumference of the circle. In this problem, we need to find the definition of the given options such as radius, arc, circumference and hence find the correct option.

Complete step by step answer:
The radius of the circle is defined as the distance between the center to the circumference of the circle.
The definition of the circumference of the circle is shown below.
Circumference is the perimeter of the circle, which is the measure of the boundary across the circle.
The formula for the circumference of the circle is shown below.
\[\begin{gathered}
  \,\,\,\,\,{\text{Circumference of the circle}} = 2\pi r \\
   \Rightarrow {\text{Circumference of the circle}} = \pi d \\
\end{gathered}\]
Here, r is the radius of the circle and d is the diameter of the circle.
An arc is any part of the circumference of the circle, which may be classified in two categories i.e. major arc and minor arc.
The formula for the arc length of the circle is shown below.
\[\,\,\,\,\,{\text{Arc length}} = r \times \theta\]
Here, r is the radius of the circle and \[\theta \] is the angle subtended at the center of the circle by arc.

In the above figure, the perimeter of the circle is termed as the circumference of the circle, and the dark curved line AB on the circumference of the circle is termed as Arc of the circle. The arc AB is a part of the circumference of the circle.

So, the correct answer is “Option B”.

Note: The circumference, itself can be treated as a full circle arc length. In a circle, an arc is the subset of the circumference. The arc length of a circle is the product of the radius and angle subtended at the centre of the circle by arc.